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关于同宿分支的Leontovich分界线量

骆海英 李继彬

骆海英, 李继彬. 关于同宿分支的Leontovich分界线量[J]. 应用数学和力学, 2005, 26(4): 418-425.
引用本文: 骆海英, 李继彬. 关于同宿分支的Leontovich分界线量[J]. 应用数学和力学, 2005, 26(4): 418-425.
LUO Hai-ying, LI Ji-bin. What Are the Separatrix Values Named by Leontovich on Homoclinic Bifurcation[J]. Applied Mathematics and Mechanics, 2005, 26(4): 418-425.
Citation: LUO Hai-ying, LI Ji-bin. What Are the Separatrix Values Named by Leontovich on Homoclinic Bifurcation[J]. Applied Mathematics and Mechanics, 2005, 26(4): 418-425.

关于同宿分支的Leontovich分界线量

基金项目: 国家自然科学基金(重大)资助项目(40221503;40233029)
详细信息
    作者简介:

    骆海英(1978- ),女,河南人,博士(联系人.Tel:+86-10-62043430;Fax:+86-10-62043526;E-mail:hyluo@mail.iap.ac.cn).

  • 中图分类号: O175.14

What Are the Separatrix Values Named by Leontovich on Homoclinic Bifurcation

  • 摘要: 由Leontovich定义的鞍点量和分界线量是判断同宿轨道分支出极限环的数目及同宿环稳定性的主要判据.利用Tkachev对多重极限环稳定性判定的方法,对给定的系统,得到了同宿环分支的第三阶分界线量的公式,并对高阶分界线量做了猜测.
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出版历程
  • 收稿日期:  2003-06-20
  • 修回日期:  2004-12-03
  • 刊出日期:  2005-04-15

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